For Exercises 21 and 22, it may be helpful to look at a simpler problem in order to understand the pattern
that can be found with a quadratic equation. For example, consider the quadratic equation Y=X2.
We can create a table of values and investigate the relationship between successive values of y.

Y=X2

x

y

Change in y

0

0

--------

1

1

1

2

4

3

3

9

5

4

16

7

As you can see from the table, each successive change in y results in a value that is two more than the
previous change. A similar pattern can be found for the equation in Exercises 21 and 22.